(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Evaluate the surface integral of G over the surface S

S is the parabolic cylinder y=2x^2, 0=< x =<5, 0=< z =<5

G(x,y,z)=6x

Answer is one of the following:

1. (15/8)*(401sqrt(401)-1)

2. (5/8)*(401sqrt(401)-1)

3. (15/8)*(401sqrt(401)+1)

4. (5/8)*(401sqrt(401)+1)

2. Relevant equations

3. The attempt at a solution

Let f(x,y,z)=y-2x^2=0

n=gradf/||gradf||=(-4xi+1j+0k)/sqrt(16x^2+1)

n*=j

G.n=-24x^2/sqrt(16x^2+1)

n.n*=1/sqrt(16x^2+1)

therefore the double integral over S = SS (G.n/n.n*) dzdx

solving the double integral gets -5000

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# Homework Help: Evaluate! surface integral over surface

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